Please find the required program and output below Please fin
Please find the required program and output below: Please find the comments against each line for the description:
import math # This will import math module
 def calculate_pi():   # function that return value of m(i) for input i
    sum = 0  
    for j in range(0,12):   #iterate loop till 12 times
        sum = sum + (math.pow(-1,j)/((2*j)+1))   #summation of the Leibniz series
    pi = 4 * sum  
    return float(pi)   #return number
   
   
 #print the output
 print (\"pi = \", calculate_pi())
Question1. Add these to above program:
description of the program in a header block
 programmer name in a header block
 documentation string included in the function
question 2. Modify the program above program so that it contains a class related to the Leibniz formula. Add additional methods to the class for doing calculations based on the pi attribute. Divide your program into two modules - one which contains your class and another which demonstrates the class methods. Enable a user to enter the number of values to be used in the pi calculation. Be sure your program contains exception handling and has been debugged. It should also launch and be usable under Windows 10 as described in class.
Solution
PROGRAM CODE:
# Class for Pi
 import math #importing math for pow operation
 class Pi:
 sum = 0
 #constructor
 def __init__(self, pi_count):
 self.count = pi_count
 #function for calcualting pi
 def calculate(self):
 for j in range(0,self.count):
 Pi.sum = Pi.sum+(math.pow(-1,j)/((2*j)+1))
 Pi.sum = 4*Pi.sum
#Main module
 #handling exceptions
 try:
    #getting value from user
    iterations = int(input(\'Enter the number of values: \'))
    #checking if the iterations value is greater than or equal to 0
    #if true - program exits
    if(iterations <= 0):
        print(\"\ Invalid input\")
        quit()
    #initializing object
    pi = Pi(iterations)
    #calculating pi
    pi.calculate();
    #printing on screen
    print(\"\ pi=\")
    print(Pi.sum)
 #valueError - Incase of decimal or string inputs or no inputs
 except ValueError:
    print(\"\ Oops! That was no valid input.\")
 #EOFError - when input is not provided (incase of online compilers)
 except EOFError:
    print(\"\ Oops! That was no valid input.\")
OUTPUT:
RUN #1:
RUN #2:


